can some one explain this
Assuming a gram of gold costs approximately $36, how many cubic centimeters of gold can you buy with a twenty dollar bill if the density of gold is 19320 kg / m3 ?
a)
0.029 cm3
b)
2.9 x 10-6 cm3
c)
0.56 cm3
d)
0.04 cm3
Twenty dollars will buy you 20/36 = 0.556 grams of gold at that price.
Calculate the volume that has that mass, buy dividing the mass by the density.
It will be easier if you convert the density to 19.32 g/cm^3
To answer this question, we need to calculate how many cubic centimeters of gold can be purchased with a twenty dollar bill, given the density of gold and the cost of one gram of gold.
First, let's convert the density of gold from kilograms per cubic meter (kg/m3) to grams per cubic centimeter (g/cm3). Since there are 1000 grams in a kilogram and 100 centimeters in a meter, we can use the following conversion factor:
1 kg/m3 = 0.001 g/cm3
Next, we need to find the cost of one gram of gold in dollars. Given that a gram of gold costs approximately $36, we can use this information to calculate the cost of one cubic centimeter of gold. Since one cubic centimeter is equivalent to one gram of gold based on its density, we can conclude that the cost of one cubic centimeter of gold is also approximately $36.
Finally, we can determine how many cubic centimeters of gold can be bought with a twenty dollar bill by dividing $20 by the cost of one cubic centimeter of gold, which is approximately $36.
$20 / $36 ≈ 0.56
Therefore, the answer is option c) 0.56 cm3.